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QuestionSolve the equation and fill in missing terms. Simplify fractions.
−8y−16−5y=−5y+8−13y−16=−5y+8−8y−16=8−8y=□y= -8 y-16-5 y =-5 y+8 \\ -13 y-16 =-5 y+8 \\ -8 y-16 =8 \\ -8 y =\square \\ y =
Divide both sides by -8.

Studdy Solution

STEP 1

Assumptions1. The equation is linear and has one variable, y. . The goal is to solve for y.

STEP 2

The first step is to simplify the equation. We can do this by combining like terms on both sides of the equation.
−8y−16−5y=−5y+8-8 y-16-5 y = -5 y+8

STEP 3

Combine the terms with y on the left side of the equation.
−8y−5y=−13y-8 y -5 y = -13 y

STEP 4

Substitute this back into the equation.
−13y−16=−y+8-13 y -16 = - y +8

STEP 5

Next, add5y to both sides of the equation to get rid of the term -5y on the right side.
−13y+5y=−8y-13 y +5 y = -8 y

STEP 6

Substitute this back into the equation.
−8y−16=8-8 y -16 =8

STEP 7

Next, add16 to both sides of the equation to get rid of the term -16 on the left side.
−y=24- y =24

STEP 8

This is the missing term in the square box.
−8y=□-8 y = \square

STEP 9

Finally, to solve for y, divide both sides of the equation by -8.
y=24−8y = \frac{24}{-8}

STEP 10

implify the fraction to find the value of y.
y=−3y = -3So, the solution to the equation is y = -3.

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